Fermat's Last Theorem states that there are no three positive integers $a$, $b$, and $c$ such that $a^n + b^n = c^n$ for any integer value of $n$ greater than 2. This theorem is deeply connected to various areas of mathematics, particularly through its relationship with elliptic curves and modular forms, which ultimately played a key role in its proof by Andrew Wiles in 1994.
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